Addendum to "The Living Digital (v2.0)": Multi-Column Semantic Resonance Filtering Protocol and Infinite Context Window

This addendum extends "The Living Digital (v2.0)"—a bionic extension of the Yu-Liang coordinate system (R_YL) originally disclosed in U.S. patent application filed January 31, 2026—by resolving the three open challenges identified in Section 8.5 of the parent document. We introduce two new sections. Section 8.6 presents the Multi-Column Semantic Resonance Filtering Protocol (MSRFP), a bionic transduction mechanism inspired by the mammalian cochlea that converts continuous embedding vectors into Hamming-sparse pulse codes without numerical quantization, thereby settling the embedding-projection and multi-head attention allocation challenges. Section 8.7 establishes the Infinite Context Window property of the YL-Transformer, proving that its O(1) per-pulse complexity, deterministic accumulator state, and path-independent error bound |ε| ≤ 0.5 grid units collectively eliminate the O(N²) memory wall that constrains conventional Transformer architectures, enabling sustained processing of 10⁹+ event pulses with zero hallucination drift. Together, these results upgrade the "open challenges" of v2.0 into closed theorems, completing the theoretical foundation of The Living Digital.